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arXiv · 2005.00857

Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory

Lucas Gierczak·Assil Fadle·Maxence Arutkin·Elie Raphaël·Michael Benzaquen
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Abstract

We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to its well-known steady counterpart as given by Havelock's famous formula. Finally we assess, in a specific situation, to which extent one can rightfully use Havelock's steady wave drag formula for non-uniform motion (quasi-static). Such an approach can be used to legitimize or discredit a number of studies which used steady wave drag formulas in unsteady situations.

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Lucas Gierczak, Assil Fadle, Maxence Arutkin, Elie Raphaël, Michael Benzaquen. 2020-05-02. Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory. https://arxiv.org/abs/2005.00857

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